Perspectives of Monge properties in optimization
From MaRDI portal
Publication:1923588
DOI10.1016/0166-218X(95)00103-XzbMath0856.90091OpenAlexW2105016507WikidataQ56170870 ScholiaQ56170870MaRDI QIDQ1923588
Bettina Klinz, Rüdiger Rudolf, Rainer E. Burkard
Publication date: 9 October 1996
Published in: Discrete Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0166-218x(95)00103-x
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Combinatorial optimization (90C27)
Related Items
Tractability of explaining classifier decisions, Sometimes travelling is easy: The master tour problem, Independence versus indetermination: basis of two canonical clustering criteria, Inventory allocation with full downward substitution and monotone cost differences, A constant-ratio approximation algorithm for a class of hub-and-spoke network design problems and metric labeling problems: star metric case, An LP-based characterization of solvable QAP instances with chess-board and graded structures, A New Tractable Case of the QAP with a Robinson Matrix, Equilibrated anti-Monge matrices, Unnamed Item, On the traveling salesman problem with a relaxed Monge matrix, An efficient algorithm for on-line searching of minima in Monge path-decomposable tridimensional arrays, Submatrix Maximum Queries in Monge Matrices Are Equivalent to Predecessor Search, Online dynamic programming speedups, Complexity and approximation of open shop scheduling to minimize the makespan: a review of models and approaches, The Expressive Power of Binary Submodular Functions, Supermodular functions and the complexity of MAX CSP, A sparse multiscale algorithm for dense optimal transport, The assignment problem with nearly Monge arrays and incompatible partner indices, Technical note: Split algorithm in \(O(n)\) for the capacitated vehicle routing problem, Efficiently solvable special cases of hard combinatorial optimization problems, Optimal couplings are totally positive and more, Computing a Hamiltonian path of minimum Euclidean length inside a simple polygon, An inverse problem for the collapsing sum, Technical Note—A Monge Sequence-Based Approach to Characterize the Competitive Newsvendor Problem, Submodular linear programs on forests, Speeding up the AIFV-2 dynamic programs by two orders of magnitude using range minimum queries, Approximation Algorithm for Cycle-Star Hub Network Design Problems and Cycle-Metric Labeling Problems, Computing an eigenvector of an inverse Monge matrix in max-plus algebra, Maximizing the overall end-user satisfaction of data broadcast in wireless mesh networks, Pyramidal tours and multiple objectives, Spanning trees and shortest paths in Monge graphs, On scheduling a single machine with resource dependent release times, Traditional Inventory Models for Better Price Competitiveness, Wasserstein distances in the analysis of time series and dynamical systems, The doubly graded matrix cone and Ferrers matrices, On the asymptotic behavior of subtour-patching heuristics in solving the TSP on permuted Monge matrices, Polynomially solvable special cases of the quadratic bottleneck assignment problem, Monge properties of sequence alignment, Sequence Alignment Algorithms for Run-Length-Encoded Strings, The cone of Monge matrices: Extremal rays and applications, The multi-stripe travelling salesman problem, Monge properties, discrete convexity and applications, Open shop scheduling with synchronization, Estimation of Monge matrices, A multi-objective interpretation of optimal transport, Approximation Algorithm for Cycle-Star Hub Network Design Problems and Cycle-Metric Labeling Problems, Interval matrices with Monge property., A fast algorithm for approximating the detour of a polygonal chain., Sparse Monge matrices arising from scheduling problems, The fundamental theorem of linear programming: extensions and applications, Equally weighted cardinality constrained portfolio selection via factor models, Efficiently solvable cases of quadratic assignment problem with generalized monotonic and incomplete anti-Monge matrices, Dynamic discrete tomography, A sparse algorithm for dense optimal transport, Data aggregation for \(p\)-median problems, Allocation under a general substitution structure, Easy capacitated facility location problems, with connections to lot-sizing, A pricing problem under Monge property, Note on pseudolattices, lattices and submodular linear programs, Computing an eigenvector of a Monge matrix in max-plus algebra, Structure of the eigenspace of a Monge matrix in max-plus algebra, New special cases of the quadratic assignment problem with diagonally structured coefficient matrices, On almost Monge all scores matrices, Another well-solvable case of the QAP: maximizing the job completion time variance, Discrete optimization: an Austrian view, What the transportation problem did for me, The expressive power of binary submodular functions, Selected topics on assignment problems, A note on the parity assignment problem, Local search heuristics for the multidimensional assignment problem, The algebraic Monge property and path problems, Equivalent instances of the simple plant location problem, Minimizing a sum of submodular functions, Quadratic assignment problems with additively monotone matrices and incomplete anti-Monge matrices: conditions for effective solvability, The Northwest corner rule revisited, Unnamed Item, A Fast ℒp Spike Alignment Metric, Tropical totally positive matrices, Semi-local longest common subsequences in subquadratic time, Cooperative assignment games with the inverse Monge property, Faster strongly polynomial algorithms for the unbalanced transportation problem and assignment problem with monge costs, An \(O(n^{2}\)) algorithm for maximum cycle mean of Monge matrices in max-algebra., Domain decomposition for entropy regularized optimal transport, Some aspects on solving transportation problem, Tropical planar networks, Scheduling with gaps: new models and algorithms, A fast bipartite network flow algorithm for selective assembly, Approximation algorithms for the single allocation problem in hub-and-spoke networks and related metric labeling problems, Properties of the \(d\)-dimensional Earth mover's problem, Structure and dimension of the eigenspace of a concave Monge matrix, Traveling salesman games with the Monge property, Subclasses of solvable problems from classes of combinatorial optimization problems, Monge Properties, Optimal Greedy Policies, and Policy Improvement for the Dynamic Stochastic Transportation Problem, The quadratic assignment problem with a monotone anti-Monge and a symmetric Toeplitz matrix: Easy and hard cases, The nucleon of cooperative games and an algorithm for matching games, Eigenvectors of interval matrices over max--plus algebra, Comparison and classification of linear systems over idempotent semirings inspired by total positivity, Weak Monge arrays in higher dimensions, Four-point conditions for the TSP: the complete complexity classification, Robotic-cell scheduling: special polynomially solvable cases of the traveling salesman problem on permuted Monge matrices, A unified approach to simple special cases of extremal permutation problems, Monge strikes again: Optimal placement of web proxies in the internet, Unnamed Item, Well-solvable cases of the QAP with block-structured matrices, An asymmetric analog of van der Veen conditions and the traveling salesman problem. II, Fast distance multiplication of unit-Monge matrices, Resequencing a set of strings based on a target string, Minimization with respect to divergences and applications, Subtotally positive and Monge matrices
Cites Work
- Efficient parallel algorithms for bipartite permutation graphs
- A Deterministic Multi-Period Production Scheduling Model with Backlogging
- An Inequality for Rearrangements
- Sometimes travelling is easy: The master tour problem
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A fast algorithm for constructing Monge sequences in transportation problems with forbidden arcs
- Monge and feasibility sequences in general flow problems
- Extreme Hamiltonian lines
- On the Monge property of matrices
- Greedoids
- A linear-time algorithm for concave one-dimensional dynamic programming
- Monge sequences, antimatroids, and the transportation problem with forbidden arcs
- Minimum cost flow algorithms for series-parallel networks
- Rapid dynamic programming algorithms for RNA secondary structure
- Bipartite permutation graphs
- Geometric applications of a matrix-searching algorithm
- Monge sequences and a simple assignment algorithm
- On greedy algorithms for series parallel graphs
- An algorithm for the detection and construction of Monge sequences
- Inequalities for distributions with given marginals
- Linear and combinatorial optimization in ordered algebraic structures
- Efficiently solvable special cases of bottleneck travelling salesman problems
- Reshipments and overshipments in transportation problems with minimax objective
- A special case of the \(n\)-vertex traveling-salesman problem that can be solved in O(\(n\)) time
- An optimal algorithm for \(2 \times{} n\) bottleneck transportation problems
- Two special cases of the assignment problem
- A general Hungarian method for the algebraic transportation problem
- The travelling salesman problem on permuted Monge matrices
- The quadratic assignment problem with a monotone anti-Monge and a symmetric Toeplitz matrix: Easy and hard cases
- An \(O(n)\) algorithm to solve the Bottleneck Traveling Salesman Problem restricted to ordered product matrices
- Some recent results in the analysis of greedy algorithms for assignment problems
- An instant solution of the \(2\times n\) bottleneck transportation problem
- Series parallel composition of greedy linear programming problem
- Staircase transportation problems with superadditive rewards and cumulative capacities
- Extending the quadrangle inequality to speed-up dynamic programming
- Recognition of \(d\)-dimensional Monge arrays
- Finding a minimum-weight \(k\)-link path in graphs with the concave Monge property and applications
- On Monge sequences in \(d\)-dimensional arrays
- Parallel searching in generalized Monge arrays
- Polynomially solvable cases of the traveling salesman problem and a new exponential neighborhood
- A Monge property for the \(d\)-dimensional transportation problem
- Monge matrices make maximization manageable
- Permuting matrices to avoid forbidden submatrices
- On the recognition of permuted bottleneck Monge matrices
- On the role of bottleneck Monge matrices in combinatorial optimization
- Three-dimensional axial assignment problems with decomposable cost coefficients
- Submodular linear programs on forests
- On the recognition of permuted Supnick and incomplete Monge matrices
- A structure theorem for the consecutive 1's property
- On the symmetric traveling salesman problem
- Special cases of travelling salesman problems and heuristics
- Dynamic Version of the Economic Lot Size Model
- Optimal two- and three-stage production schedules with setup times included
- An Almost Linear Time Algorithm for Generalized Matrix Searching
- IMPROVED SELECTION IN TOTALLY MONOTONE ARRAYS
- Universal conditions for algebraic travelling salesman problems to be efficiently solvable
- Sequence comparison with mixed convex and concave costs
- Efficient Parallel Algorithms for String Editing and Related Problems
- A concise survey of efficiently solvable special cases of the permutation flow-shop problem
- The Monge–Kantorovich Mass Transference Problem and Its Stochastic Applications
- A minimum concave-cost dynamic network flow problem with an application to lot-sizing
- On Transportation Problems with Upper Bounds on Leading Rectangles
- An optimal algorithm for finding minimal enclosing triangles
- The Least Weight Subsequence Problem
- The concave least-weight subsequence problem revisited
- Send-and-Split Method for Minimum-Concave-Cost Network Flows
- Weakly admissible transformations for solving algebraic assignment and transportation problems
- Speed-Up in Dynamic Programming
- Fast Matching Algorithms for Points on a Polygon
- Selection and sorting in totally monotone arrays
- A Simple Forward Algorithm to Solve General Dynamic Lot Sizing Models with n Periods in 0(n log n) or 0(n) Time
- Economic Lot Sizing: An O(n log n) Algorithm That Runs in Linear Time in the Wagner-Whitin Case
- Inequalities for E k(X, Y) when the marginals are fixed
- Minimizing a Submodular Function on a Lattice
- Perfect Elimination and Chordal Bipartite Graphs
- Improved Algorithms for Economic Lot Size Problems
- Well-Solvable Special Cases of the Traveling Salesman Problem: A Survey
- Solution of Some Transportation Problems with Relaxed or Additional Constraints
- Three easy special cases of the euclidean travelling salesman problem
- A CHARACTERIZATION OF THE MONGE PROPERTY AND ITS CONNECTION TO STATISTICS
- Edgeconvex Circuits and the Traveling Salesman Problem
- Nonredundant 1’s in $\Gamma $-Free Matrices
- The cone of Monge matrices: Extremal rays and applications
- Mass transportation problems with capacity constraints
- Selection in monotone matrices and computing k th nearest neighbors
- Mass transhipment problems and ideal metrics
- On-line dynamic programming with applications to the prediction of RNA secondary structure